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Abstract #1601

Effective potential for MR measurements of restricted diffusion

Evren Özarslan1, Cem Yolcu1, Magnus Herberthson2, Carl-Fredrik Westin1,3, and Hans Knutsson1

1Department of Biomedical Engineering, Linköping University, Linköping, Sweden, 2Department of Mathematics, Linköping University, Linköping, Sweden, 3Department of Radiology, Brigham and Women's Hospital, Harvard Medical School, Boston, MA, United States

The compartmentalized structure of biological tissues demands a representation of individual compartments and a description of diffusion within them. We identified a quadratic potential energy profile, recently studied in-depth by Yolcu et al. (Phys Rev E, 93, 052602, 2016), as the effective energy landscape for restricted diffusion as far as gradient waveforms featuring long pulses are concerned. Our simulations suggest that the stochastic effective force on the center-of-mass position is approximately linear, thus providing further support for the Hookean effective force model.

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